5) Find the equation of the line going through the point (4,1) and
perpendicular to y = - 3x +7

Answers

Answer 1

Answer:

3y=x-1 OR y=⅓x-⅓

Step-by-step explanation:

Lets call the equation y=-3x+7 line l1

the other line passing through (4,1) l2

If two lines are perpendicular,then the product of their roots=-1

That is m(l1)×m(l2)=-1

Slope of l1=-3 therefore slope of l2=-1÷-3=⅓

Now that we have determined the slope of l2 we move on to find it's equation using the point-slope form

y-y1=m(x-x1)

y-1=⅓(x-4)

3y-3=x-4

3y=x-4+3

3y=x-1 OR y=⅓x-⅓


Related Questions

solve the following system of equations y=2x+10. y=3x+12

Answers

Answer:

1. Slope: 2     y-intercept: (0,−10)

2. Slope: 3  y-intercept: (0,12)

Step-by-step explanation:

Which statements are true about the ordered pair (10, 5) and the system of equations?

{ 2x−5y=−5
{ x+2y=11


Select each correct answer.


The ordered pair (10, 5) is a solution to the first equation because it makes the first equation true.

The ordered pair (10, 5) is a solution to the second equation because it makes the second equation true.

The ordered pair (10, 5) is not a solution to the system because it makes at least one of the equations false.

The ordered pair (10, 5) is a solution to the system because it makes both equations true.

Answers

Answer:

the solution to the system is (5,3)

Step-by-step explanation:

the first statement is True:    2(10) - 5(5) = -5

                                                20 - 25 = -5

                                                  -5 = -5

the second statement if False:    10 + 2(5) ≠ 11

the third statement is True

the last statement is False

Find the slope of the lines that go through the following points.

Answers

Answer:

use the formula y2 - y1 / x2 - x1

Answer:

y2-y1 /x2-x1

Step-by-step explanation:

slope is the same as gradient

follow this principle (x,y)

Gradient (m) =y2-y1 /x2-x1

Which temperatures are listed in order from coldest to warmest?

−6°, −2°, 0°, 4°

0°, −2°, 4°, −6°

−6°, 4°, −2°, 0°

−2°, −6°, 0°, 4°

Answers

Answer:

the temperature list from coldest to warmest is :-2,-6,0,4

Classify the polynomial by degree and number of terms.
2+3x^3-7x^3+10

Answers

Answer:

−4x^3+12

Step-by-step explanation:

2+3x^3-7x^3+10

simplify this

−4x3+12

A survey was conducted of students at a high school and at a college to determine students' favorite subjects. The results are shown in the table.
History Math Science Total
High School 80 50 70 200
College 70
60
70 200
Total 150 110 140 400
What percentage of the students are college students that prefer history?
O A. 17.5%
OB. 35%
OC. 37.5%
D. 46.7%
E 75%

Answers

Answer: 35%

Step-by-step explanation:

Will give crown! Help

Answers

Answer: The slope is -5/7

Step-by-step explanation:

Slope is rise/run

The rise is -5, and the run is 7

This is why the slope is -5/7

Answer:

The rise is 6 and the run is 7 6/7

Consider the enlarged triangle.

A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.

Which steps should be used to find the perimeter? Check all that apply.

Find the scale factor: enlarged over original = 6 over 3 = 2
Find the scale factor: enlarged over original = 3 over 6 = one-half
Calculate the perimeter of the original figure.
Divide the perimeter of the original figure by the scale factor.
Multiply the perimeter of the original figure by the scale factor.

Answers

Find the scale factor: StartFraction enlarged over original EndFraction = StartFraction 6 over 3 EndFraction = 2

Calculate the perimeter of the original figure.

Multiply the perimeter of the original figure by the scale factor.

Step-by-step explanation:

A, C, D

The steps which could be used to find the perimeter are Find the scale factor: enlarged over original = 6 over 3 = 2, Calculate the perimeter of the original figure and Multiply the perimeter of the original figure by the scale factor.

What is Scale Factor?

Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.

Given that,

A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.

First find the scale factor.

Scale factor of enlarged over original = 8/4 = 10/5 = 6/3 = 2

Now, find the perimeter of the original figure.

Perimeter of the original figure = 4 + 5 + 3 = 12

Now.

Perimeter of enlarged figure = Scale factor × Perimeter of original figure

= 2 × 12

= 24

Hence the correct steps are first, third and last step.

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Each of three colored cups covers one of three objects. 1) The red cup is somewhere to the left of the white cup. 2) The coin is somewhere to the left of the bean. 3) The gray cup is somewhere to the right of the shell. 4) The bean is somewhere to the right of the gray cup. Under which color cup is the shell?

Answers

Answer:

Shell is under Red color cup

Step-by-step explanation:

We have 3 cups and 3 objects which they cover under them.

Taking into consideration (4) and (2) as they both describe the position related to bean

(4) Gray cup  →Bean (right)     (2) coin ← bean (left)  

that means coin can either under Gray cup or left to gray cup.

Now

(1) Red ← White (left)  (3) Shell → Gray  (right)

This means if we consider coin to be left of gray cup then we can't place shell to the left of gray cup as required in (3)

so coin will be under gray cup

on forming the Color of cups and the coin below them

C1             C2         C3

Red       Gray      White

 __           __          __

Shell        coin        Bean

So Shell is under Red color cup

SUPER EASY SOLVE THIS ILL MARK AS BRAINLIEST PLEASE
THE ATTACHMENT

Answers

Answer:

7

40

the answer is 7 fortyths

working out

3 quarters - 3 eighths = 3 eighths*7 nineths= 7 twentyforths

5 sixths +1 third + 1 half = 10 sixths

7 twentyforths divided by 10 sixths= 7 fortyths

which model represents 1/3​

Answers

Answer:2nd one because 2/6=1/3

Step-by-step explanation:

If you ride your bicycle at 22 miles per hour, how many miles could
you travel from 7:00 a.m. to 9:30 a.m. if you do not take a break?

Answers

Answer:

About 4-5 miles at the most i rode a bike before to a store and it took me an hour to go there and get back so.... Ya i would say about 4-5 miles

Step-by-step explanation:

Because 22mph is pretty slow. And i was going faster then 22mph when i was on my bike.

Answer:

55 miles

Step-by-step explanation:

Subtract 9:30 & 7:00, it will give you 2.3...meaning 2.5 hours. If you are traveling 22 miles an hour for 2 hours & 30 minutes you will get 55 miles total. 22 + 22 + 11 = 55.

Help will give crown

Answers

G and H are 5 units apart.

G is at (-3, -4), and H is at (2, -4)

-3 and 2 are 5 units apart, -3+5=2. 2-5=-3

You are running an experiment in class where you draw colored marbles out of a bag. There are
eight marbles in the bag, you will draw five times, and you will replace the marble each time. How many ways can you draw the marbles out of the bag?

A: 40

B: 3,360

C: 4,096

D: 32,768

Answers

Answer:

32768 ways

Step-by-step explanation:

Given

Marbles = 8 marbles

Selection = 5 (with replacement)

Required

Determine the number of ways

Because it is a selection with replacement; each selection is as follows:

[tex]First = 8\ marbles[/tex]

[tex]Second = 8\ marbles[/tex]

[tex]Third= 8\ marbles[/tex]

[tex]Fourth = 8\ marbles[/tex]

[tex]Fifth = 8\ marbles[/tex]

Total number of ways is then calculated as:

[tex]Total = 8 * 8 * 8 * 8 * 8[/tex]

[tex]Total = 32768[/tex]

Solve for x.
(x + 13) ft
24 ft

Answers

Answer:

x = 9.

Step-by-step explanation:

If you meant (x + 13) = 24, then we first must subtract 24 by 13.

24 - 13 = 9

Now, check your work by replacing the "x" with 9.

(9+ 13) = 24

24 = 24 <----- This is a true statement.

Therefore, x = 9.

Hope this helps! :D

express the scientific notation:4830000000 with all formula​

Answers

Answer:

4.83 * 10^9

Step-by-step explanation:

Here, we want to express the given number in scientific notation

What we have to do here is to place the decimal number at the back of the first non zero number

The first non zero number is 4

So

let us count the number of digits after the first non zero number

That will be 9

So we make this the power of 10

And our answer will be;

4.83 *10^9

Error Analysis

On a math test a student, Jake, has to identify all the coefficients and constants of
the expression 7b+ m + 8. Jake says that 7 is a coefficient and 8 is a constant. Identify all the
coefficients and constants of the expression. What error might Jake have made?

The coefficient(s) of the expression is are __
Use a comma to separate answers as needed.)

The constant(s) of the expression is/are __
(Use a comma to separate answers as needed.)

What error might Jake have made?

A. Jake said 7 is a coefficient. It is actually a constant.
OB. Jake said 8 is a constant. It is actually a coefficient.
OC. Jake did not include the constant 1.
OD. Jake did not include the coefficient 1.
Click to select your answer's).

Answers

The coefficient(s) of the expression is/are 7, 1

Use a comma to separate answers as needed.)

The constant(s) of the expression is/are 8

(Use a comma to separate answers as needed.)

What error might Jake have made?

OD. Jake did not include the coefficient 1.

Click to select your answer's

Ben can type 2/5 of a page of an essay in 1/2 minute. How much time would
take him to type one full page of the essay?

Answers

Answer:

ok so first i want to figure out what 2/5 converted to percent is......

you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4

so this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so lets see,

40% + 40% = 80%

so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time does it take to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15

So if we add all these numbers up it equals 1:15 minutes to write an essay

I hope this helps and please mark brainliest if i got it right!

The time taken by Ben to write a full page will be 1:15 minutes.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4

So this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so let's see,

40% + 40% = 80%

so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time it takes to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15

Therefore, the time takes Ben to write a full page will be 1:15 minutes.

To know more about an expression follow

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What is 2/5 ÷ 1/10 = ?​

Answers

=2/5÷1/10=2/5×10/1=2×2 =4 ans it was so simple

The graph shows the heigh if a tree ever time. What can you reduce the rate of change to be from 2years to 4years

Answers

Answer:

the question sounds confusing but I believe you would reduce the time or the x value so that the years are reduced.

PLSSSS SOMEONE HELP MEEE IM STUCK the question is below

Answers

Answer:

x=8, y=73/3

Step-by-step explanation:

they ask to solve by substitution so from second equation find y

4x-3y= -41 isolate y

4x+41 = 3y divide both sides by 3

(4x+41)/3= y substitute this y in the first equation

5x+2y = -34

5x+2(4x+41)/3 = -34 distribute and find the common denominator

3*5x+(8x+82)/3 = -34

15x+8x+82=-34*3 cross multiply

23x = -102-82

x=-184/23=8

y=(4*8+41)/3=73/3 is about 24.333..

What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where $a$ and $b$ are integers?

Answers

hahahahahahahahahahaha

srsly tho

is this still a problem you have? if so ill solve it.

Last year's cost, c, of a water park season pass increased 35%. The expression C+0.35c can be used to represent the increased price of a season pass. What is another expression that can be used to find the the new cost of a season pass?

Answers

Answer:

c+35/100c

Step-by-step explanation:

can someone please help me with this? if you end up getting it correct after I answer it ill give you 20 points more

Answers

Answer: B.

Step-by-step explanation:

The slope is 3 the y-intercept is (0,6)

hope this was helpfulllllllllllllllllllllllllllllllllll

.anybody actually knows the answer ​

Answers

Answer:

2.56

Step-by-step explanation:

14.7 - 1.9 = 12.8

12.8/5 (sides) =

n = 2.56

check:

2.56 * 5 = 12.8

12.8 + 1.9 = 14.7

Please help I got to get this done to move on in math (my teacher wont unlock anything till i get this done i have till tomorrow)

Answers

Step-by-step explanation:

please see it my steps to work this problem

Answer:  10x - 1

==============================================

Explanation:

The multiplicative inverse of x is 1/x, and vice versa. This is true as long as x is not 0.

The multiplicative inverse of 1/5 is 5. These two values multiply to 1. This is true of any multiplicative inverse pairing.

----------

What we need to do is multiply 5 with (2x-1/5)

Use the distributive property to get the following

5*(2x-1/5)

5*(2x) - 5*(1/5)

10x - 5/5

10x - 1

I multiplied the outer 5 by each term inside (the 2x and 1/5) and simplified.

Coca Cola is offering prizes under the caps of their sodas. Coca Cola claims that “one in six game pieces wins a prize.” The official rules of the contest states that the odds of winning a prize are 1:6. Is the claim “one in six game pieces wins a prize” correct? Why or why not?

Answers

Answer:

correct because one in six game pieces win a prize.

Step-by-step explanation:

Please help!!!! I don’t get it

Answers

Answer:

x = 9

m<b = 54

m<e = 54

Step-by-step explanation:

A membership to the gym costs $25 per person in 1995. The membership cost has increased by an average of $6 per person for each year since 1995. Write a linear equation for the cost of a gym membership for one person since 1995.What is the cost of a gym membership in 2009?

Answers

Answer:

The cost of a gym membership would be 109

Step-by-step explanation:

2009-1995=14

thats how many years apart from each other

so its been 14 years $6 for each year so 14x6=84

so the regular price was $25 and went up 84 dollars last 14 years.

25+84=109 so the price of gym membership would be $109

Evaluate the following expression when n = 6.
|n - 6| - |5 - n|

Answers

Answer:

-1

Step-by-step explanation:

1. Substitute n with 6 because n=6

2. Then you simply solve both sides so (6-6)-(5-6) because n=6

3.so then you get the absolute value of 0 subtracted by the absolute values of -1

4. So because all absolute values change it to positive you get 0-1 instead of 0- - 1

5. So the final answer is -1

Sorry if this was confusing, I’m really bad at explaining. :)

Answer:

|n-6|-|5-n|

=|6-6|-|5-6|

=|0|-|-1|

=0-1

=-1

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